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You are entirely missing the point. His purpose isn't to give the reader a rigorous mathematical understanding. It is to convey a concept. It is an analogy, not a proof. And his analogy is perfectly good. Just do it: say "HHHHHHHHHH" and say "ten tosses, all heads" and get back to me which one transmits the info to another human in more compact form.

"To another human" is the key phrase, and sometimes I wonder if HN is populated with humans or androids. No offense intended to androids with feelings.

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